Finite-dimensional pointed Hopf algebras over finite 3 simple groups of Lie type V. Mixed classes in Chevalley 4 and Steinberg groups

被引：5

作者：

Andruskiewitsch, Nicolas ^{[1
]}

Carnovale, Giovanna ^{[2
]}

Garcia, Gaston Andres ^{[3
]}

机构：

[1] Univ Nacl Cordoba, CIEM CONICET, FAMAF, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina

[2] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

[3] Univ Nacl La Plata, Fac Ciencias Exactas, Dept Matemat, CONICET, CC 172, RA-1900 La Plata, Argentina

来源：

MANUSCRIPTA MATHEMATICA | 2021年 / 166卷 / 3-4期

关键词：

CONJUGACY CLASSES;

D O I：

10.1007/s00229-020-01248-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLn(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a consequence, we prove that the only finite-dimensional pointed Hopf algebra whose group of group-like elements is PSp(2n)(q), P Omega(+)(4n)(q), P Omega(-)(4n)(q), D-3(4)(q), E-7(q), E-8(q), F-4(q), or G(2)(q) with q even is the group algebra.

引用

页码：605 / 647

页数：43

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